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arXiv · 2201.12521

A Study on the Scattering of Matter Waves through Slits

Hardeep Singh·A. Bhagwat
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Abstract

Scattering of matter waves through slits has been explored using the Feynman Path Integral formalism. We explicitly plot the near-zero probability densities to analyse the behaviour near the slit. Upon doing so, intriguing patterns emerge, most notably the braid-like structure in the case of double slits, whose complexity increases as one increases the number of slits. Furthermore, the plot shows the existence of a transition region, where the distribution of near-zero probability points changes from the braided to the fringe-like structure, which has been analysed by explicitly expressing the wavefunction as a hypergeometric function. These patterns are analysed while considering the continuity equation and its consequences for the regions with zero probability density. As a result, we find quasi-traps in the region whose size can be controlled and made much smaller than the wavelength of matter waves.

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Hardeep Singh, A. Bhagwat. 2022-01-29. A Study on the Scattering of Matter Waves through Slits. https://doi.org/10.1140/epjp/s13360-022-03375-2

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